Change pack
Capstone
May 15 - 21
25 questions
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1.
Number
Simplify: 2√160
Answer: 8√10
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2.
Algebra
Complete the square: x² - 7x - 4
Answer: (x - 7⁄2)² - 65⁄4
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3.
Geometry
Find area of triangle: a = 19cm, b = 19cm, angle = 46°. Give your answer to 2 decimal places
Answer: 129.84cm²
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4.
Ratio
a:b is 7:9 and b:c is 5:8. Find a:b:c in its simplest form.
Answer: 35:45:72
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5.
Statistics
Find the mean, median and range of: 23, 26, 70, 88, 37, 94, 10, 24
Answer: Mean = 46.5, Median = 31.5, Range = 84
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1.
Number
Simplify: √304
Answer: 4√19
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2.
Algebra
Complete the square: 3x² + 24x - 10
Answer: 3(x + 4)² - 58
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3.
Geometry
Find area of triangle: a = 27cm, b = 26cm, angle = 75°. Give your answer to 2 decimal places
Answer: 339.04cm²
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4.
Ratio
a:b is 5:7 and b:c is 6:7. Find a:b:c in its simplest form.
Answer: 30:42:49
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5.
Statistics
Find the mean, median and range of: 30, 73, 10, 45, 95, 12, 29
Answer: Mean = 42, Median = 30, Range = 85
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1.
Number
Simplify: 4√54
Answer: 12√6
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2.
Algebra
Complete the square: 4x² - 16x - 9
Answer: 4(x - 2)² - 25
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3.
Geometry
Find area of triangle: a = 26cm, b = 29cm, angle = 58°. Give your answer to 2 decimal places
Answer: 319.71cm²
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4.
Ratio
a:b is 8:7 and b:c is 9:2. Find a:b:c in its simplest form.
Answer: 72:63:14
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5.
Statistics
Find the mean, median and range of: 57, 68, 64, 87, 75, 23, 75. Give your answer to 2 decimal places
Answer: Mean = 64.14, Median = 68, Range = 64
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1.
Number
Simplify: √735
Answer: 7√15
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2.
Algebra
Complete the square: 4x² + 24x - 15
Answer: 4(x + 3)² - 51
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3.
Geometry
Find area of triangle: a = 21cm, b = 12cm, angle = 51°. Give your answer to 2 decimal places
Answer: 97.92cm²
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4.
Ratio
a:b is 1:7 and b:c is 4:1. Find a:b:c in its simplest form.
Answer: 4:28:7
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5.
Statistics
Find the mean, median and range of: 12, 53, 22, 88, 33, 34, 22, 64, 33. Give your answer to 2 decimal places
Answer: Mean = 40.11, Median = 33, Range = 76
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1.
Number
Simplify: √352
Answer: 4√22
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2.
Algebra
Complete the square: x² + 7x - 2
Answer: (x + 7⁄2)² - 57⁄4
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3.
Geometry
Find area of triangle: a = 23cm, b = 13cm, angle = 46°. Give your answer to 2 decimal places
Answer: 107.54cm²
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4.
Ratio
a:b is 2:9 and b:c is 2:9. Find a:b:c in its simplest form.
Answer: 4:18:81
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5.
Statistics
Find the mean, median and range of: 61, 40, 89, 66, 85, 58, 16. Give your answer to 2 decimal places
Answer: Mean = 59.29, Median = 61, Range = 73